Search a number
-
+
23151344213205 = 32513219213761553
BaseRepresentation
bin1010100001110010101111…
…01001011101110011010101
310000222020122222120101211200
411100321113221131303111
511013302423104310310
6121123325233223113
74606425614614125
oct520712751356325
9100866588511750
1023151344213205
11741648028816a
12271aa76401a99
13cbc215a0b500
145a0761254c85
152a23461ce9c0
hex150e57a5dcd5

23151344213205 has 216 divisors, whose sum is σ = 46196176790088. Its totient is φ = 10718722400256.

The previous prime is 23151344213171. The next prime is 23151344213213. The reversal of 23151344213205 is 50231244315132.

23151344213205 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 1 + 3 + 442 + 1 + 3 + 205 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4305031570449 + 18846312642756 = 2074857^2 + 4341234^2 .

It is not a de Polignac number, because 23151344213205 - 28 = 23151344212949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23151344213205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 376089709 + ... + 376151261.

It is an arithmetic number, because the mean of its divisors is an integer number (213871188843).

Almost surely, 223151344213205 is an apocalyptic number.

It is an amenable number.

23151344213205 is a deficient number, since it is larger than the sum of its proper divisors (23044832576883).

23151344213205 is a wasteful number, since it uses less digits than its factorization.

23151344213205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61765 (or 61730 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 23151344213205 its reverse (50231244315132), we get a palindrome (73382588528337).

The spelling of 23151344213205 in words is "twenty-three trillion, one hundred fifty-one billion, three hundred forty-four million, two hundred thirteen thousand, two hundred five".